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On distinctive solitons type solutions for some important nonlinear Schrödinger equations

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Abstract

The extended Jacobi elliptic function expansion (EJEFE) method is used to retrieve several types of optical solitons of two nonlinear Schrödinger equations, namely the Heisenberg ferromagnetic spin chains and Alfvén envelop equations. The obtained traveling wave solutions and the corresponding plots are analysed by means of the symbolic package Mathematica. The solutions show that the proposed strategy is effective and reliable for solving different types of nonlinear differential equations.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt

    M. S. Osman

  2. Department of Mathematics, Faculty of Applied Science, Umm Alqura University, Makkah, 21955, Saudi Arabia

    M. S. Osman

  3. Department of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, Rua Dr. Antonio Bernardino de Almeida, Porto, Portugal

    J. A. T Machado

  4. Department of Mathematics, Cankaya University, Öǧretmenler Cad., 1406530, Ankara, Türkiye

    D. Baleanu

  5. Institute of Space Sciences, Magurele, Bucharest, Romania

    D. Baleanu

  6. Department of Mathematics, CUI Vehari Campus, Vehari, Pakistan

    A. Zafar

  7. Department of Mathematics and Statistics, ISP Multan, Multan, Pakistan

    M. Raheel

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  1. M. S. Osman
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  2. J. A. T Machado
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  3. D. Baleanu
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  4. A. Zafar
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  5. M. Raheel
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Correspondence to M. S. Osman, J. A. T Machado or D. Baleanu.

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Osman, M.S., Machado, J.A.T., Baleanu, D. et al. On distinctive solitons type solutions for some important nonlinear Schrödinger equations. Opt Quant Electron 53, 70 (2021). https://doi.org/10.1007/s11082-020-02711-z

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